120444313222441 has 8 divisors (see below), whose sum is σ = 129709388668104. Its totient is φ = 111179256101760.

The previous prime is 120444313222439. The next prime is 120444313222447. The reversal of 120444313222441 is 144222313444021.

It can be written as a sum of positive squares in 4 ways, for example, as 47451707790400 + 72992605432041 = 6888520^2 + 8543571^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120444313222441 - 2¹ = 120444313222439 is a prime.

It is a super-3 number, since 3×120444313222441³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120444313222441.

It is not an unprimeable number, because it can be changed into a prime (120444313222447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11043405 + ... + 19048501.

It is an arithmetic number, because the mean of its divisors is an integer number (16213673583513).

Almost surely, 2^{120444313222441} is an apocalyptic number.

It is an amenable number.

120444313222441 is a deficient number, since it is larger than the sum of its proper divisors (9265075445663).

120444313222441 is a wasteful number, since it uses less digits than its factorization.

120444313222441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162491.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 120444313222441 its reverse (144222313444021), we get a palindrome (264666626666462).

The spelling of 120444313222441 in words is "one hundred twenty trillion, four hundred forty-four billion, three hundred thirteen million, two hundred twenty-two thousand, four hundred forty-one".